Search a number
-
+
5198171280 = 2435711072851
BaseRepresentation
bin1001101011101010…
…11100110010010000
3111102021021110110020
410311311130302100
541121212440110
62215450503440
7242546504211
oct46565346220
914367243406
105198171280
112228261025
121010a34b80
1364ac256c3
14374529408
1520654dd70
hex135d5cc90

5198171280 has 160 divisors (see below), whose sum is σ = 16499801088. Its totient is φ = 1353408000.

The previous prime is 5198171273. The next prime is 5198171299. The reversal of 5198171280 is 821718915.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821855 + ... + 1824705.

Almost surely, 25198171280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5198171280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249900544).

5198171280 is an abundant number, since it is smaller than the sum of its proper divisors (11301629808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5198171280 is a wasteful number, since it uses less digits than its factorization.

5198171280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The square root of 5198171280 is about 72098.3445024919. The cubic root of 5198171280 is about 1732.2750960009.

The spelling of 5198171280 in words is "five billion, one hundred ninety-eight million, one hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 107 120 142 213 214 240 284 321 355 426 428 535 568 642 710 852 856 1065 1070 1136 1284 1420 1605 1704 1712 2130 2140 2568 2840 2851 3210 3408 4260 4280 5136 5680 5702 6420 7597 8520 8553 8560 11404 12840 14255 15194 17040 17106 22791 22808 25680 28510 30388 34212 37985 42765 45582 45616 57020 60776 68424 75970 85530 91164 113955 114040 121552 136848 151940 171060 182328 202421 227910 228080 303880 305057 342120 364656 404842 455820 607263 607760 610114 684240 809684 911640 915171 1012105 1214526 1220228 1525285 1619368 1823280 1830342 2024210 2429052 2440456 3036315 3050570 3238736 3660684 4048420 4575855 4858104 4880912 6072630 6101140 7321368 8096840 9151710 9716208 12145260 12202280 14642736 16193680 18303420 21659047 24290520 24404560 36606840 43318094 48581040 64977141 73213680 86636188 108295235 129954282 173272376 216590470 259908564 324885705 346544752 433180940 519817128 649771410 866361880 1039634256 1299542820 1732723760 2599085640 5198171280